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Quantum Field Theoretic Treatment of Pion Production via Proton Synchrotron Radiation in Strong Magnetic Fields: Effects of Landau Levels

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arxiv 1503.05635 v1 pith:423UEZKJ submitted 2015-03-19 astro-ph.HE hep-phnucl-th

Quantum Field Theoretic Treatment of Pion Production via Proton Synchrotron Radiation in Strong Magnetic Fields: Effects of Landau Levels

Tomoyuki Maruyama , Myung-Ki Cheoun , Toshitaka Kajino , Yongshin Kwon , Grant J. Mathews , Chung-Yeol Ryu This is my paper
classification astro-ph.HE hep-phnucl-th
keywords magneticprotonpionproductionstrongsynchrotronanomalousapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study pion production from proton synchrotron radiation in the presence of strong magnetic fields. We derive the exact proton propagator from the Dirac equation in a strong magnetic field by explicitly including the anomalous magnetic moment. In this exact quantum-field approach the magnitude of pion synchrotron emission turns out to be much smaller than that obtained in the semi-classical approach. However, we also find that the anomalous magnetic moment of the proton greatly enhances the production rate about by two order magnitude.

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